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It was also realised that the shallow diagonals of the triangle were sums to the Fibonacci numbers. The Indian mathematician Bhattotpala later gave rows 0-16 of the triangle.
Around the same time, the traingle was discussed by mathematicians in Persia, Al-Karaji,and mathematician Omar Khayyam, reffered to the traingle as the "Khayyam triangle" in Iran. Many theorems related to the triangle were known, including the binomial theorem. In fact Khayyam used a method of finding nth roots based on the binomial expansion, and therefore on the binomial coefficients.
Chinese mathematician Chia Hsien showed that he was using the triangle to extract square and cube roots of numbers...
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